Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Some theorems on groups with applications to ring theory
HTML articles powered by AMS MathViewer

by Bailey Brown and Neal H. McCoy

Trans. Amer. Math. Soc. 69 (1950), 302-311

DOI: https://doi.org/10.1090/S0002-9947-1950-0038952-7

PDF | Request permission

References

Richard F. Arens and Irving Kaplansky, Topological representation of algebras, Trans. Amer. Math. Soc. 63 (1948), 457–481. MR 25453, DOI 10.1090/S0002-9947-1948-0025453-6
Bailey Brown, An extension of the Jacobson radical, Proc. Amer. Math. Soc. 2 (1951), 114–117. MR 40286, DOI 10.1090/S0002-9939-1951-0040286-8
Bailey Brown and Neal H. McCoy, Radicals and subdirect sums, Amer. J. Math. 69 (1947), 46–58. MR 19594, DOI 10.2307/2371653
Bailey Brown and Neal H. McCoy, The radical of a ring, Duke Math. J. 15 (1948), 495–499. MR 25448
Bailey Brown and Neal H. McCoy, The maximal regular ideal of a ring, Proc. Amer. Math. Soc. 1 (1950), 165–171. MR 34757, DOI 10.1090/S0002-9939-1950-0034757-7
R. A. Good, On the theory of clusters, Trans. Amer. Math. Soc. 63 (1948), 482–513. MR 24895, DOI 10.1090/S0002-9947-1948-0024895-2
N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945), 300–320. MR 12271, DOI 10.2307/2371731
Ruth Moufang, Zur Struktur von Alternativkörpern, Math. Ann. 110 (1935), no. 1, 416–430 (German). MR 1512948, DOI 10.1007/BF01448037
Malcolm F. Smiley, Alternative regular rings without nilpotent elements, Bull. Amer. Math. Soc. 53 (1947), 775–778. MR 22211, DOI 10.1090/S0002-9904-1947-08875-3
Malcolm F. Smiley, Application of a radical of Brown and McCoy to non-associative rings, Amer. J. Math. 72 (1950), 93–100. MR 32591, DOI 10.2307/2372136

Theorie der Alternativen Ringe

Max Zorn, Alternative rings and related questions I: existence of the radical, Ann. of Math. (2) 42 (1941), 676–686. MR 5098, DOI 10.2307/1969256

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 09.1X
Retrieve articles in all journals with MSC: 09.1X

Bibliographic Information

© Copyright 1950 American Mathematical Society
Journal: Trans. Amer. Math. Soc. 69 (1950), 302-311
MSC: Primary 09.1X
DOI: https://doi.org/10.1090/S0002-9947-1950-0038952-7
MathSciNet review: 0038952